A314065 Coordination sequence Gal.4.143.1 where Gal.u.t.v denotes the coordination sequence for a vertex of type v in tiling number t in the Galebach list of u-uniform tilings.

1, 5, 11, 15, 22, 26, 31, 37, 42, 48, 52, 58, 63, 68, 74, 79, 84, 89, 95, 100, 105, 110, 116, 121, 126, 132, 136, 142, 147, 153, 158, 162, 169, 173, 179, 184, 189, 195, 199, 206, 210, 215, 221, 226, 232, 236, 242, 247, 252, 258

Offset

0,2

Comments

Note that there may be other vertices in the Galebach list of u-uniform tilings with u <= 6 that have this same coordination sequence. See the Galebach link for the complete list of A-numbers for all these tilings.

Links

Table of n, a(n) for n=0..49.

Brian Galebach, k-uniform tilings (k <= 6) and their A-numbers

Formula

Conjectures from Chai Wah Wu, Jun 20 2026: (Start)

a(n) = a(n-5) + a(n-7) - a(n-12) for n > 12.

G.f.: (x^12 + 5*x^11 + 11*x^10 + 15*x^9 + 22*x^8 + 25*x^7 + 26*x^6 + 25*x^5 + 22*x^4 + 15*x^3 + 11*x^2 + 5*x + 1)/(x^12 - x^7 - x^5 + 1). (End)

Crossrefs

Sequence in context: A314063 A314064 A154503 * A314066 A314067 A314068

Adjacent sequences: A314062 A314063 A314064 * A314066 A314067 A314068

Keyword

nonn,changed

Author

Brian Galebach and N. J. A. Sloane, Jun 18 2018

Status

approved